717870532227 · 21290000 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:717870532227 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L975 : Hnizdil, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.55045266)
Rank (*):9351 (digit rank is 1089)
Entrance Rank (*):1306
Currently on list? (*):no
Submitted:7/13/2013 07:08:47 CDT
Last modified:7/13/2013 08:50:28 CDT
Removed (*):2/1/2016 07:27:22 CDT
Database id:114671
Status Flags:none
Score (*):43.7286 (normalized score 0.7626)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id114671
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 717870532227 2 1290000 -1 2>&1
[Elapsed time: 10.309 seconds]
modified2013-08-16 09:44:43
created2013-07-13 07:18:12
id159720

fieldvalue
prime_id114671
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: cllr64.exe -q"717870532227*2^1290000-1" 2>&1 -d
Starting Lucas Lehmer Riesel prime test of 717870532227*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...
[Elapsed time: 944 seconds]
modified2013-08-16 09:44:43
created2013-07-13 08:22:36
id159727

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.